i think it is possible and connected one to test but the motor did not operate bi-directionally according to plan. That is why i wanted to confirm this.

On certain motors, like fractional HP induction motors (capacitor start, split phase, repulsion start), there is a starting coil and a running coil. If you try to reverse the motor at full speed, it won't. It has to slow down until the centrifugal switch engages, and preferably until it stops before you reverse it.